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Finding the Fourth Proportional to 958.04, 1,437.48 and 380.84

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Solution

The fourth proportional to 958.04, 1,437.48 and 380.84 is: 571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.04 : 1,437.48 = 380.84 : x
  2. Step 2: Convert to fraction form
    958.04/1,437.48 = 380.84/x
  3. Step 3: Cross multiply
    958.04x = 1,437.48 × 380.84
  4. Step 4: Simplify right side
    958.04x = 547,449.88
  5. Step 5: Solve for x
    x = 547,449.88/958.04
  6. Step 6: Final answer
    x = 571.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.